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Finding the Fourth Proportional to 1,685.43, 2,528.11 and 452.97

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Solution

The fourth proportional to 1,685.43, 2,528.11 and 452.97 is: 679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.43 : 2,528.11 = 452.97 : x
  2. Step 2: Convert to fraction form
    1,685.43/2,528.11 = 452.97/x
  3. Step 3: Cross multiply
    1,685.43x = 2,528.11 × 452.97
  4. Step 4: Simplify right side
    1,685.43x = 1,145,151.44
  5. Step 5: Solve for x
    x = 1,145,151.44/1,685.43
  6. Step 6: Final answer
    x = 679.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.